- my right hand is more powerful, more agile, less independent(fingers) than left hand
You must love technical exercises. Even they are out of musicality. You must prolong your patience. When you will be successful in these exercises, you won't regret having your skill improving. Do Hanon too, these are exercises that strengthen your fingers, coordination, and finger independence.
Finger strength and independence are not necessary, or even possible; coordination is what you need, and I see no reason why you should practice that with Hanon when you could be practicing it with real music (while practicing musicality at the same time).My advice: Bach 2-Part Inventions, maybe number 1 and/or 8, and work hands separate at first, otherwise your right hand will be always be slowed down by the left while the left will be working over its capacity, trying to keep up with the right and making mistakes.
P.S. i hate technical exercises.